Question

Solve that sin x + cos x = √2

Answer 1

Hi Mate!!!

( 1 / √ 2 ) × Sin ( x ) + ( 1 / √ 2 ) × Cos ( x ) = 1


=>. Cos ( 45 ) × Sin ( x ) + Sin ( 45 ) × Cos ( x ) = 1


=>. Sin ( 45 + x ) = Sin ( 90 )


=>. 45 + x = 90

=>. x = 45°


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Sin ( A + B ) = Sin ( A ) Cos (B ) + Cos (A ) Sin ( B )

And

Sin (90) = 1

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Have a nice time